Answer:
g=3
Step-by-step explanation:
9 - g = 2g
+g +g
9=3g
divide both sides by 3
g=9
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.

We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a <em>t</em>, so we can factor that out as well:

(-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.
Answer:
<em>Grades to be scored in 3rd exam = 88</em>
Step-by-step explanation:
Given that average of 3 numbers is 85.
First two numbers are 81 and 86.
To find:
3rd number so that average is 85
Solution:
Let the third number = 
Formula for average is:

Here, sum of numbers = 
Total count of numbers = 3

<em>Grades to be scored in 3rd exam = 88</em>
Answer:
1.2218 atm
Step-by-step explanation:
From ideal gas formula,
PV=nRT
Where n= number of moles
V= volume
T= temperature=25.0°C
= (273 + 25) = 298 K
R= gas constant = 0.082 l atm /K mol.
Making P subject of formula we have
P= [nRT] /V
Then substitute the values we have
P= [0.5 x 0.082 x 298] / 10
P= 1.2218 atm
Answer:
15x + 7
Step-by-step explanation:
8x + 16 + 7x - 9 =
15x + 7
Hope that helps!